FIXED POINT THEOREMS IN DISLOCATED QUASI METRIC AND DISLOCATED QUASI b-METRIC SPACES

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Document Type : Original Article

Author

Department of Mathematics Jehanzeb College Swat Pakistan

Abstract

In this paper, the concept of generalized contraction mapping has been used in

investigating fixed point theorems. A fixed point theorem of integral type will be

establish in the setting of dislocated quasi metric spaces using some new type of

rational contraction conditions. Moreover, a fixed point theorem will be studied in

the context of dislocated quasi b-metric spaces using the idea of generalized new

contraction conditions. Several corollaries may be deduced from our established

results, which generalize and extend several results of the literature. Also , our

investigated results may be easily used in solving equations in non-linear analysis too.

Keywords

Main Subjects

Communications in Nonlinear Analysis

Articles in Press, Accepted Manuscript
Available Online from 30 December 2023

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